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The area to the left of one z-score is 0.9332 and to the left of another is 0.3446. What area lies between the two?
AThe area is 1.2778
BThe area is 0.6554
CThe area is 0.3446
DThe area is 0.5886
Answer & Solution
Correct answer: D. The area is 0.5886
1. Each table entry gives the area lying to the left of its own z-score.
2. The larger entry, 0.9332, already contains the strip below the smaller z-score.
3. So subtract the smaller left area from the larger one.
4. That is 0.9332 minus 0.3446.
5. The subtraction gives 0.5886.
6. Answering 1.2778 adds the two areas and exceeds the total area of 1.
7. Answering 0.6554 subtracts 0.3446 from 1 and describes a tail, not the middle strip.
8. Answering 0.3446 simply repeats the smaller left area without comparing anything.
_Source: OpenStax High School Statistics (CC BY 4.0), Ch 6 "The Normal Distribution", section 6.2 Using the Normal Distribution_
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